Analysis and Synthesis of Nonlinear Control Systems
A Convex Optimisation Approach
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Beschreibung
This book presents a modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures.
Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, Takagi–Sugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial models, as well as the performance and robustness of the models. With detailed examples, simulations, and programming code, this book will be useful to instructors, researchers, and graduate students interested in nonlinear control systems.
This book presents a modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures.
Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, Takagi–Sugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial models, as well as the performance and robustness of the models. With detailed examples, simulations, and programming code, this book will be useful to instructors, researchers, and graduate students interested in nonlinear control systems.Provides an overview of latest developments within synthesis of convex-optimization-based control of nonlinear systems Offers both background information and up-to-date research, making it a self-contained guide Includes fully worked-out examples, with enough detail to be reproduced by readers
Autor*in
Miguel Bernal
Themen in »Analysis and Synthesis of Nonlinear Control Systems«
Nonlinear Control Systems Quasi-Linear Parameter Varying Systems Takagi-Sugeno Models Polynomial Models Descriptor Models Linear Fractional Transformation Models Lyapunov-Based Methods Convex Optimization Linear Matrix Inequalities Sum-of-Squares Tools